We also consider other possible interactions which might be present but do not qualitatively change the MR effect we concern with. They read [1]}, [2]}, [3]} \(H^{\prime }=H^{\prime }_\Delta +H^{\prime }_{\rm R}\) , where \(H^{\prime }_\Delta =\Delta \sigma _z\)  represents the
intralayer inversion-symmetry breaking induced by interface lattice mismatch
and \(H^{\prime }_{\rm R}=\lambda _{\rm R}(\sigma _xs_y-\xi \sigma _ys_x)/2\)  [1]}, [5]}, [6]} is the proximity-induced Rashba interaction. For simplicity, we take \(H^{\prime }\)  the same in both monolayers. Disregarding \(H^{\prime }_{\rm R}\) , the low-energy four bands are solved as
\(\begin{split}E^2=&\upsilon _0^2p^2+\frac{\gamma ^2}{2}+\alpha ^2+\Delta ^2\\&-\frac{1}{2}\sqrt{4\upsilon _0^2p^2(4\alpha ^2+\gamma ^2)+\left(\gamma ^2-4\alpha \Delta \right)^2},\end{split}\) 
